WISDOMTREE RULES-BASED METHODOLOGY WisdomTree Managed Futures Index Last Updated June 206 Page of 8
WISDOMTREE RULES-BASED METHODOLOGY The WisdomTree Managed Futures Index tracks a diversified portfolio of futures contracts on both commodities and financials based on a proprietary rules-based momentum investing framework. Assets The investment universe of the index includes the following components Commodities Financials Crude Oil Copper Soybeans Live Cattle Euro 0 Year US Note Natural Gas Gold Corn Lean Hogs Japanese Yen 30 Year US Bond Heating Oil Silver Wheat British Pound Gasoline Coffee Swiss Franc Sugar Australian Dollar Cotton Canadian Dollar Cocoa Instruments The index tracks the prices of futures contracts on the components in the universe. The futures contracts for the corresponding components and their exchanges are summarized in the table below. Commodities Financials Asset Futures Contract Exchange Asset Futures Contract Exchange Crude Oil CL NY MEX Euro EC CME Natural Gas NG NYMEX Japanese Yen JY CME Heating Oil HO NYMEX British Pound BP CME Gasoline XB NYMEX Sw iss Franc SF CME Copper HG CMX Australian Dollar AD CME Gold GC CMX Canadian Dollar CD CME Silver SI CMX 0 Year US Note TY CBT Soybeans S CBT 30 Year US Bond US CBT Corn C CBT Wheat W CBT Coffee KC NYB-ICE Sugar SB NYB-ICE Cotton CT NYB-ICE Cocoa CC NYB-ICE Live Cattle LC CME Lean Hogs LH CME Page 2 of 8
Rolling schedule The futures contract of each component follows a fixed rolling schedule as listed below. For example, the contract applicable to Crude Oil in April is the June contract of the same year. In May, the contract applicable to Crude Oil will roll into the September contract of the same year, according to the schedule. Asset Contract January February March April May June July August September October November December Crude Oil CL H M M M U U U Z Z Z H H Natural Gas NG H M M M U U U Z Z Z H H Heating Oil HO H M M M U U U Z Z Z H H Gasoline XB H M M M U U U Z Z Z H H Copper HG H K K N N U U Z Z Z H H Gold GC J J M M Q Q Z Z Z Z G G Silver SI H N N N N U U Z Z Z H H Soybeans S H N N N N X X X X H H H Corn CO H N N N N U U Z Z Z H H Wheat W H N N N N U U Z Z Z H H Coffee KC H N N N N U U Z Z Z H H Sugar SB H K K N N V V V H H H H Cotton CT H N N N N Z Z Z Z Z H H Cocoa CC H N N N N U U Z Z Z H H Live Cattle LC M M M M Q Q Z Z Z Z G G Lean Hogs LH M M M M Q Q Z Z Z Z G G Euro EC H H M M M U U U Z Z Z H Japanese Yen JY H H M M M U U U Z Z Z H British Pound BP H H M M M U U U Z Z Z H Swiss Franc SF H H M M M U U U Z Z Z H Australian Dollar AD H H M M M U U U Z Z Z H Canadian Dollar CD H H M M M U U U Z Z Z H 0 Year US Note TY H M M M U U U Z Z Z H H 30 Year US Bond US H M M M U U U Z Z Z H H January February March April May June July August September October November December Contract Month Code F G H J K M N Q U V X Z Contract prices and returns of components Two settlement prices for each component contract are used in the calculation of the final index. Position Determination Date (PDD) Prices: prices are collected on the position determination date, which is two business days before the last trading day of the month, to calculate monthly percentage change time series for each component (e.g. compare PDD price of the current month with PDD price from the month before).,.,.,. Page 3 of 8
Roll Date (RD) Prices: settlement prices are collected on the roll date, which is the last trading day of the month, to calculate monthly percentage change time series for each component (e.g. compare RD price of the current month with RD price from the month before).,.,.,. Long/short decision under composite momentum signal framework The index establishes long or short positions once a month using a transparent, rules-based investment process. For each component, the index calculates the following momentum signals. Short-term momentum: at the position determination date, the index calculates the last 3- month return based on the PDD prices. If the last 3-month return is greater than or equal to zero, the index denotes M 3 =, otherwise, M 3 =. 0,,.,. Medium-term momentum: at the position determination date, the index calculates the last 6-month return based on the PDD prices. If the last 6-month return is greater than or equal to zero, the index denotes M 6 =, otherwise, M 6 =. 0,,. Page 4 of 8
,. Long-term momentum: at the position determination date, the index calculates the last 2- month return based on the PDD prices. If the last 2-month return is greater than or equal to zero, the index denotes M 2 =, otherwise, M 2 =. 0,,.,. Composite momentum signal: the composite momentum signal of each component is the sum of M 3, M 6 and M 2. If M kc =3 or -3, the momentum signals are in total agreement. The index invests the full notional amount of the weight assigned to the component with a long (M kc =3) position or a short (M kc =-3) position. If M kc = or, the momentum signals are in partial agreement. The index invests the two thirds of the notional amount of the weight assigned to the component with a long (M kc =) position or a short (M kc =) position. Page 5 of 8
3 Composite Momentum Signal Illustration 2 0-2 -3 Total agreement. Fully invested. Partial agreement. Not fully invested. Short Term Medium Term Long Term However, the short position in energy commodities is not allowed, which includes Crude Oil, Natural Gas, Heating Oil and Gasoline. When the composite momentum signal of an energy component mentioned above indicates a short position (M kc =-3 or ), the index stays flat and assigns the weight of the component to other components proportionally. Index components selection and weighting The index selects 20 out of 24 components in the universe with lower realized volatility each month. The realized volatility is calculated as the annualized standard deviation of the last 36-month RD prices-based monthly returns of long/short positioning under the composite momentum signal framework. 2, 36.,. 36,.,, 0, 35. The index gives equal weight to all selected components. If an energy component is selected into the index but the composite momentum signal suggests a short position, the index stays flat and assigns the weight of the energy component to other selected components proportionally. Page 6 of 8
There are 6 components in the index each month at minimum and 20 components at maximum. Therefore, the notional amount of the weight of each component ranges from 5% to 6.25%. Index calculation Index values are calculated daily after the close of the underlying component markets. Calculation of price return Each trading day the index will be valued based on the settlement prices of their respective component contracts. The price return is a sum of the contract percentage changes that does not include any interest component. WTMFPR t, the value of WisdomTree Managed Futures Index on day t.,. :. :. :.,, 0. :. :. :. Note that positions roll at the close of business on the Roll Date. Index valuations on the Roll Date (t=rd) will refer to the prior Roll Date for component prices, direction and weights. Calculation of total return The total return of the index consists of both price return and interest rate return that is earned on futures collateral. The futures collateral is assumed to be invested in a short term risk free rate to approximate the return earned from the collateral positions. Page 7 of 8
,.,. :.,.,., the return of the risk free rate over the period from the preceding RD to t Note that positions roll at the close of business on the Roll Date. Index valuations on the Roll Date (t=rd) will refer to the prior Roll Date for component prices, direction and weights. Page 8 of 8